## The challenge

Take an integer `n (n >= 0)` and a digit `d (0 <= d <= 9)` as an integer. Square all numbers `k (0 <= k <= n)` between 0 and n. Count the numbers of digits `d` used in the writing of all the `k**2`. Call `nb_dig` (or nbDig or …) the function taking `n` and `d` as parameters and returning this count.

#### Examples:

 ``````1 2 3 4 5 6 7 `````` ``````n = 10, d = 1, the k*k are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 We are using the digit 1 in 1, 16, 81, 100. The total count is then 4. nb_dig(25, 1): the numbers of interest are 1, 4, 9, 10, 11, 12, 13, 14, 19, 21 which squared are 1, 16, 81, 100, 121, 144, 169, 196, 361, 441 so there are 11 digits `1` for the squares of numbers between 0 and 25. ``````

Note that `121` has twice the digit `1`.

## The solution in Java code

Option 1:

 `````` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 `````` ``````public class CountDig { public static int nbDig(int n, int d) { int sum = 0; for (int i = 0; i <= n; i++) { sum += countOfDigit((int) Math.pow(i, 2), d); } return sum; } public static int countOfDigit(int n, int d) { int count = 0; do { if (n % 10 == d) count ++; n /= 10; } while (n > 0); return count; } } ``````

Option 2:

 `````` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 `````` ``````import java.util.stream.IntStream; public class CountDig { public static int nbDig(int n, int d) { return (int) IntStream .rangeClosed(0, n) .map(i -> i * i) .flatMap(i -> String.valueOf(i).chars()) .mapToObj(i -> (char)i) .mapToInt(Character::getNumericValue) .filter(i -> i == d) .count(); } } ``````

Option 3:

 `````` 1 2 3 4 5 6 7 8 9 10 11 12 `````` ``````public class CountDig { public static int nbDig(int n, int d) { int needle = String.valueOf(d).charAt(0); int count = 0; for (int i = 0; i <= n; i++) { String haystack = String.valueOf(i * i); count += (int) haystack.chars().filter(ch -> ch == needle).count(); } return count; } } ``````

## Test cases to validate our solution

 `````` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 `````` ``````import static org.junit.Assert.*; import org.junit.Test; public class CountDigTest { private static void testing(int actual, int expected) { assertEquals(expected, actual); } @Test public void test() { System.out.println("Fixed Tests nbDig"); testing(CountDig.nbDig(5750, 0), 4700); testing(CountDig.nbDig(11011, 2), 9481); testing(CountDig.nbDig(12224, 8), 7733); testing(CountDig.nbDig(11549, 1), 11905); } } ``````